Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §6.4 Logarithms, #64 · Calculus · Differentiation rules

We know the integral

We know the integral $\int_{1}^{x} t^{h - 1} d t = [t^{h} / h]_{1}^{x} = (x^{h} - 1) / h$ . Its limit as $h \to 0$ is ____.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §6.4 Logarithms, #64

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